Calculus/Limits/Exercises

< Calculus‎ | Limits

Basic Limit ExercisesEdit

1.

2.

Solutions

One-Sided LimitsEdit

Evaluate the following limits or state that the limit does not exist.

3.

4.

5.

6.

The limit does not exist

Solutions

Two-Sided LimitsEdit

Evaluate the following limits or state that the limit does not exist.

7.

8.

The limit does not exist.

9.

The limit does not exist.

10.

11.

12.

13.

14.

15.

16.

The limit does not exist.

17.

18.

The limit does not exist.

19.

20.

21.

The limit does not exist.

22.

23.

24.

25.

26.

The limit does not exist.

Solutions

Limits to InfinityEdit

Evaluate the following limits or state that the limit does not exist.

27.

28.

29.

30.

31.

32.

33.

34.

35.

36.

Solutions

Limits of Piecewise FunctionsEdit

Evaluate the following limits or state that the limit does not exist.

37. Consider the function

a.

b.

c.

The limit does not exist

38. Consider the function

a.

b.

c.

d.

e.

f.

39. Consider the function

a.

b.

c.

d.

Solutions

External LinksEdit